Solve each system of linear equations by substitution.3x - 2y = 9
y = 2x - 7 Pease show all steps

Answers

Answer 1
Answer: 3x-2(2x-7)=9 \n 3x-4x+14=9 \n -x+14=9 \n -14\ \ \ \ -14 \n -x=-5 \n /-1/-1 \n \ \ x=5
Answer 2
Answer: 3x-2y=9 will be
3x-9=2y and
(3x)/2-9/2=y

2) y=2x-7

if you mean the intersection , so y=y
(3x)/2-9/2=2x-7
1,5x-4,5=2x-7
-4,5+7=2x-1,5x
2,5=0,5x
x=2,5/0,5
x=5 is the answer

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Solve algebraically: Y = x^2 + 5x - 17 Y = x - 5

Write each rate as a unit rate.
3 inches of rain in 6 hours

Answers

half an inch of rain in an hour, or an inch of rain in 2 hours.

What does it mean for an equation to express y in terms of x

Answers

This is also known as constant of variation. 

So, lets give an example

y = 4 and x = 2

If y = 8, what does x equal?

4*2 = 8
y = 8

x = 2
2*2 = 4

x = 4

We solve for the missing value based on the other value. 

A spinner has 3 equal sections that are red,white,and blue. What isthe probality of not landing on blue!?

Answers

So 3/3 of the sections are colors, and 1/3 of the sections are blue, which means the probability of the spinner landing on NOT blue is 2/3.
The probability pf landing on blue is 25%

Diya and Leo both write the decimal 2.15 repeating as a fraction. Diya's fraction: 97/45 Leo's fraction: 97/5 Who wrote the correct fraction?

Answers

We can solve this without counting too much, like this:

When we look st Diya's fraction: it's about 2 : you can see that the top number is about twice as big as the lower one (compare 90 and 40 for this, 90 is a little more than twice 40)

When we look at Leo's fraction: 97 is a lot more than twice 5!!! To simplify compare 90 and 5: it is definitely at least 10 times bigger (actually 18).

So even if we just "look at" the fractions; Leo's fraction seems too big to be 2.(15).

In fact, his fraction is equal to 19.4

Diya was right!

(and 97/45 is exactly 2.(15).

Need help with # 17 don't understand it

Answers

the answer is 1/4 bella thought it was 2/4 because she divided by two then got 2/4.use 4 to find out urethane answer.
The answer is 1/2 because if you divide 4 from 4/8 u get 1/2

What are the two numbers and how did you figure it out?

Answers

do those 2 equaiton you did
minus x on top

y=10-x
sub for y
x(10-x)=12
distribute
10x-x^2=12
minus (10x-x^2) both sides
0=x^2-10x+12

use quadratic formula
in form
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

a=1
b=-10
c=12
x=\frac{-(-10)+/- \sqrt{(-10)^(2)-4(1)(12)} }{2(1)}
x=(10+/- √(100-48) )/(2)
x=(10+/- √(52) )/(2)
x=(10+/- 2√(13) )/(2)
x=5+/- √(13)


x=(5+ 2√(13) )/(2) or (5- 2√(13) )/(2)

aprox

x=1.39445 or 8.60555
those are the 2 numbers since x and y can switch
I would make a list of the factors of 12. 1 and 12; 2 and 6; 3 and 4. However none of these add to 10. I would talk to a teacher about this one, since none of the answers are apparent at the moment. I will keep working.